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A conference talk exploring the rapid thermalization of quantum dissipative many-body systems, presented by Angela Capel at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) as part of the Thematic Programme on "Entanglement in Many-body Quantum Matter: Dynamics, Dissipation, Equilibration." Discover how quantum systems reach thermal equilibrium when in contact with external baths, and the challenges in calculating thermalization speed in complex many-body systems. Learn about the limitations of using spectral gap estimates for dissipative generators and how modified logarithmic Sobolev inequalities (MLSI) can provide better bounds on thermalization time. Explore a strategy for proving MLSI satisfaction through correlation decay between spatially separated regions in Gibbs states of local, commuting Hamiltonians. The 46-minute presentation summarizes current research on mixing times for quantum dissipative systems and discusses applications including stability against local perturbations and efficient Gibbs state preparation.
